Isabella invested in a stock for five years. The annual returns over the past five years were: $-4\mathrm{.}0\%,-13\mathrm{.}4\%,1\mathrm{.}4\%,6\mathrm{.}1\%,$ and $-17\mathrm{.}2\%,$ respectively. What was her annual compounded rate of return in the past five years? $($Note: Round your answer to $3$ decimal places. For example, if your answer is $8\mathrm{.}7\%,$ you should write $0\mathrm{.}087$ in the answer box. DO NOT write $8\mathrm{.}7$ in the box as you will be marked wrong$).$